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Finding the Fourth Proportional to 221.89, 333.07 and 196.37

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Solution

The fourth proportional to 221.89, 333.07 and 196.37 is: 294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.89 : 333.07 = 196.37 : x
  2. Step 2: Convert to fraction form
    221.89/333.07 = 196.37/x
  3. Step 3: Cross multiply
    221.89x = 333.07 × 196.37
  4. Step 4: Simplify right side
    221.89x = 65,405.30
  5. Step 5: Solve for x
    x = 65,405.30/221.89
  6. Step 6: Final answer
    x = 294.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.